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Finding the Third Proportional to 187,824 and 255,816

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Solution

The third proportional to 187,824 and 255,816 is: 348,421.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,824 : 255,816 = 255,816 : x
  2. Step 2: Convert to fraction form
    187,824/255,816 = 255,816/x
  3. Step 3: Cross multiply
    187,824x = 255,816 × 255,816
  4. Step 4: Simplify right side
    187,824x = 65,441,825,856
  5. Step 5: Solve for x
    x = 65,441,825,856/187,824
  6. Step 6: Final answer
    x = 348,421.00

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.